Homework 6 solutions: 1. Using two by two matrices the difference equation becomes:
[h(k ' )]cfw_n = cfw_n + cfw_n +1 + cfw_n -1
Using cfw_n = cfw_o eink a where cfw_n and cfw_o are 2 x 1 column vectors and the matrices
'
are given as follows: t 0 0
Homework 4 solutions: 1.
Av = Iv
Condition for eigenvalues are
det( A I ) = 0
cos det i sin e
sin e i =0 cos
From which
= 1
to find eigenvalues
v v A 1 = 1 1 v2 v2
From which we get two equations, but we need only one equation since those two equation
1
ECE 495W
EXAM I
1 page of notes Friday Sept. 29, 2006
NAME :
PUID # :
Please show all work and write your answers clearly. This solution should have four pages. Problem 1 Problem 2 Problem 3 Total [p. 2,] [p. 3] [p. 4] 8 points 8 points 9 points 25 poin
1
EE 453 EXAM I OPEN BOOK Wednesday Sept.28, 2002
NAME :
SS # :
Please show all work and write your answers clearly. This exam should have five pages. Problem 1 Problem 2 Problem 3 Total [p. 2] [p. 3] [p. 4, 5] 6 points 7 points 12 points 25 points
2 Prob
1
ECE495W
Practice problems for EXAM II
1 page of notes
Friday Oct.27, 2006
1. A molecule (NOT a solid) consists of eight
carbon atoms arranged at the corners of a regular
octagon of side a. Assume (1) one orbital per
carbon atom as basis function ; (2) t
11/06/06
ECE 495W, Fall06 MSEE B010, MWF 330P 420P
Fundamentals of Nanoelectronics
All exercises, section numbers and page numbers refer to S.Datta, Quantum Transport: Atom to Transistor, Cambridge (2005) HW#7: Due Monday Nov.13 in class.
Problem 1: What
10/23/06
ECE 495W, Fall06 MSEE B010, MWF 330P 420P
Fundamentals of Nanoelectronics
Note: Exam II on Friday Nov.3 in class, One page of notes
All exercises, page numbers refer to S.Datta, Quantum Transport: Atom to Transistor, Cambridge (2005) HW#6: Due Mo
10/13/06
ECE 495W, Fall'06 MSEE B010, MWF 330P 420P
Fundamentals of Nanoelectronics
All exercises, page numbers refer to S.Datta, Quantum Transport: Atom to Transistor, Cambridge (2005) HW#5: Due Friday Oct.20 in class. None of these problems require the
10/03/06
ECE 495W, Fall06
MSEE B010, MWF 330P 420P
Fundamentals of Nanoelectronics
Due Friday Oct. 13 in class
Problem 1: Consider a (2x2) matrix of the form
A=
cos sin e+ i
sin e i cos
What are its eigenvalues? What are the corresponding eigenvectors ?
P
9/15/06
ECE 495W, Fall06 MSEE B010, MWF 330P 420P
Fundamentals of Nanoelectronics
All exercises, page numbers refer to S.Datta, Quantum Transport: Atom to Transistor, Cambridge (2005) HW#3: Based on Section 3.4, Page 71-78, but this may be hard to follow.
9/08/06
ECE 495W, Fall06 MSEE B010, MWF 330P 420P
Fundamentals of Nanoelectronics HW#2: Due Friday Sept.15 in class.
All exercises, page numbers refer to S.Datta, Quantum Transport: Atom to Transistor, Cambridge (2005) ISBN 0-521-63145-9.
Please turn in a
8/29/06
ECE 495W, Fall06 MSEE B010, MWF 330P 420P
Fundamentals of Nanoelectronics
HW#1 Solution:
Problem 1:
Density of states ->
0.2 0.15
1000 K
0.1 0.05
300 K
0 -0.05 -0.1 -0.15 -0.2 0 5 10 15 20 25 30
A channel having a density of states as shown is con
8/29/06
ECE 495W, Fall06 MSEE B010, MWF 330P 420P
Fundamentals of Nanoelectronics HW#1: Due Friday Sept.8 in class.
All exercises, page numbers refer to S.Datta, Quantum Transport: Atom to Transistor, Cambridge (2005) ISBN 0-521-63145-9.
Please turn in a